Physical System Modelling
Stephen Birkett

Piano Design
Physical Systems
Animal Growth Modelling
Environmental Systems

Linear Algebra
Numerical Methods
Computational Mathematics
Musical Instruments

Marcia Hadjimarkos

Summary. A generalized computational and conceptual framework is being developed for modelling and simulation of discrete (or discretized) multi-domain physical systems. This combinatorial technique reconciles two previously independent engineering methods - linear graphs and bondgraphs. The model is particularly suited to large-scale computational applications and facilitates the interconnection of existing system models. Model structure can be systematically constructed from the interconnection topology of the system components and system equations formulated following various automated procedures.


The Mathematical Foundations of Bondgraphs:
I - Algebraic theory. J. Franklin Inst. 326(1989): 329-250
II - Duality. J. Franklin Inst. 326(1989): 691-708
III - Matroid theory. J. Franklin Inst. 327(1990): 87-108
IV - Matrix representation and causality. J. Franklin Inst. 327(1990): 109-128
  V - Orientation and orthogonality for directed bondgraphs. Preprint (2004). Submitted.
VI - Causality and regularity for directed bondgraphs. Preprint (2004). Submitted.

SH Birkett. On the special properties of graphic and co-graphic bondgraphs. J. Franklin Inst. 340(1993): 735-761

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©2004 Stephen Birkett